Is there a way to input this or the data into AE? I have tried a few plugins and I can totally eye-ball it, but I'd much rather use the actual data from PF Track to assure that I'm applying the same distortion to the background plate.

The reason why I don't undistort in After Effects before tracking is because PF Track has a tool for this and tends to give more accurate results- giving the ability to refine and adjust as your solving the shot.